Non-intersection exponents of fully packed trails on the square lattice

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Published 8 May 2007 IOP Publishing Ltd
, , Citation Yacine Ikhlef et al J. Stat. Mech. (2007) P05005 DOI 10.1088/1742-5468/2007/05/P05005

1742-5468/2007/05/P05005

Abstract

Fully packed trails on the square lattice are known to be described, in the long distance limit, by a collection of free non-compact bosons and symplectic fermions, and thus exhibit some properties reminiscent of Brownian motion, like vanishing fuseau exponents. We investigate in this paper the situation for their non-intersection exponents. Our approach is purely numerical, and based both on transfer matrix and Monte Carlo calculations. We find some evidence for non-intersection exponents given by CFT formulae similar to the Brownian case, albeit slightly different in their details.

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10.1088/1742-5468/2007/05/P05005